2112102101120 has 512 divisors, whose sum is σ = 5937932448000. Its totient is φ = 710221824000.

The previous prime is 2112102101117. The next prime is 2112102101167. The reversal of 2112102101120 is 211012012112.

It is a junction number, because it is equal to n+sod(n) for n = 2112102101095 and 2112102101104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1623444470 + ... + 1623445770.

Almost surely, 2^{2112102101120} is an apocalyptic number.

2112102101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968966224000).

2112102101120 is an abundant number, since it is smaller than the sum of its proper divisors (3825830346880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112102101120 is a wasteful number, since it uses less digits than its factorization.

2112102101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2112102101120 its reverse (211012012112), we get a palindrome (2323114113232).

The spelling of 2112102101120 in words is "two trillion, one hundred twelve billion, one hundred two million, one hundred one thousand, one hundred twenty".